Question

Graph 4x + y = 6x-1.
show your work and explain the method used to determine the graph.

Answer 1

See below

Explanation:

4x+y = 6x -1 is just the a graph of a line ...rearrange

y = 6x -4x -1

y = 2x -1 slope = 2 y-axis intercept = -1

can you graph it now ?

Answer 2

Answer: Refer to the graph attached

Explanation:

Given equation

4x + y = 6x - 1

Convert the format into slope-intercept form

This is the clearest form in my personal opinion, it allows you to pinpoint the intercept on the y-axis and the slope

y = mx + b

• m = Slope
• b = y-intercept

Subtract 4x on both sides

This is to move 4x onto the other side to isolate the y value

4x + y - 4x = 6x - 1 - 4x

y = 2x - 1

Interpret the expression

y = mx + b

y = 2x - 1

Slope = 2

y-intercept = -1

Please refer to the graph below for the actual result

Hope this helps!! :)

Please let me know if you have any questions